3x 2y 12

Username: Password: Register in one easy step! Reset your password if you forgot it. Algebra: Inequalities, trichotomy Section. Solvers Solvers.

Username: Password: Register in one easy step! Reset your password if you forgot it. Algebra: Graphs, graphing equations and inequalities Section. Solvers Solvers. Lessons Lessons. Answers archive Answers. Start with the given equation Subtract from both sides Rearrange the equation Divide both sides by Break up the fraction Reduce So the equation is now in slope-intercept form where the slope is and the y-intercept is Looking at we can see that the equation is in slope-intercept form where the slope is and the y-intercept is Since this tells us that the y-intercept is.

3x 2y 12

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So, on the graph, you need to shade the area below and to the right of the "dashed" line.

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Learn how to solve integral calculus problems step by step online. We need to isolate the dependent variable y, we can do that by simultaneously subtracting 3x from both sides of the equation. Factor the polynomial x by it's greatest common factor GCF : 3. Divide both sides of the equation by Simplifying the quotients.

3x 2y 12

Notice how the points line up perfectly? Notice the arrows on the ends of each side of the line. These arrows indicate the line continues.

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This means that to go from point to point, we can go down 3 and over 2 So starting at , go down 3 units and to the right 2 units to get to the next point Now draw a line through these points to graph So this is the graph of through the points and. But note that because the sign of the inequality is So you will graph: Now you need to shade the area of the graph that contains solutions to the inequality. So, on the graph, you need to shade the area below and to the right of the "dashed" line. Answers archive Answers. Now try a point on the other side of the line, -5, 4 This is not true so the point -5, 4 is not a solution and should fall on the un-shaded side of the line. Lessons Lessons. First solve the inequality for the y-variable. For this you will need a "test point" or two to determine which side of the line to shade. This is the area that contains the solutions to the inequality. Now you graph this inequality by treating it like an equation and then graphing the linear equation. Answers archive Answers.

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Now try a point on the other side of the line, -5, 4 This is not true so the point -5, 4 is not a solution and should fall on the un-shaded side of the line. Solvers Solvers. Reset your password if you forgot it. Now you graph this inequality by treating it like an equation and then graphing the linear equation. To solve linear inequalities with two variables, you can use graphing. Lessons Lessons. Remember the y-intercept is the point where the graph intersects with the y-axis So we have one point Now since the slope is comprised of the "rise" over the "run" this means Also, because the slope is , this means: which shows us that the rise is -3 and the run is 2. Reset your password if you forgot it. Answers archive Answers. Finally divide both sides by 2. Username: Password: Register in one easy step! Algebra: Graphs, graphing equations and inequalities Section. Add 2y to both sides. Let's try test point 0, 0 and put these values of x and y in the original inequality to see whether or not it is a solution.